The graph shows observations and a regression line of the number of progeny on the tail length of male birds.

Which of the following can be inferred from the graph?

Correct option is C

Solution : 
Regression Equation:
The equation of the regression line is:
y=0.309x−2.89
where:
y = is the number of progeny.
x = is the male tail length (mm)
Interpretation of the Slope:
The slope
0.309 is positive, meaning that as the tail length increases, the number of progeny also increases.
Inference from the graph:

1. Positive Correlation:
   The regression line $y=0.309x-2.89$ indicates a positive correlation between male tail length (in mm) and the number of progeny. As the male tail length increases, the number of progeny also tends to increase.

2. Strength of Relationship:
   The coefficient of determination (r2=0.907r^2 = 0.907r^$2$$=0.907$) shows that 90.7% of the variation in the number of progeny is explained by the male tail length. This suggests a very strong linear relationship.

3. Regression Slope:
   The slope $0.309$ indicates that for each additional millimeter increase in the tail length, the number of progeny increases by approximately 0.309 units.

Final Answer : Option (C) Males with longer tails tend to father more progeny.​
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